SOLUTION: Find the probability of getting 2 eights and 3 queens when drawing 5 cards from a standard deck of 52 cards.

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Question 1089572: Find the probability of getting 2 eights and 3 queens when drawing 5 cards from a standard deck of 52 cards.
Found 2 solutions by rothauserc, natolino_2017:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
with or without replacement of a drawn card?

Answer by natolino_2017(77) About Me  (Show Source):
You can put this solution on YOUR website!
Picking 5 cards from a deck of 52 cards, without replamente, is like making a committee of 5 members out of 52 total members.
Total Number of Committes = 52C5 = 2,598,960.
As you have 4 eigths and 4 queen, your committe must have 2 of the first category and 3 of the second category (and 0 of the rest which is 52-4-4 =44 cards).
Using the Multiplication principle:
working Committees = %284C2%29%284C3%29%2844C0%29+=+24
P() = Working Committees/ Total Committees = 24/2,598,960 = 1/108,290
@natolino_